Two partners invested ₹ 12500 and ₹ 8500 in a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the total profit in the business be $₹ x$.$60 \%$ of the total profit $= 0.6x = \frac{3x}{5}$.This amount is divided equally,so each partner r

Vedclass · Accepted Answer

$3937.50$

Vedclass · Answer

(A) Let the total profit in the business be $₹ x$.$60 \%$ of the total profit $= 0.6x = \frac{3x}{5}$.This amount is divided equally,so each partner receives $\frac{1}{2} 	imes \frac{3x}{5} = \frac{3x}{10}$.The remaining profit is $x - \frac{3x}{5} = \frac{2x}{5}$.This remaining profit is divided in the ratio of their capitals,which is $12500 : 8500 = 25 : 17$.The share of the first partner from the remaining profit is $\frac{25}{25+17} 	imes \frac{2x}{5} = \frac{25}{42} 	imes \frac{2x}{5} = \frac{5x}{21}$.The share of the second partner from the remaining profit is $\frac{17}{42} 	imes \frac{2x}{5} = \frac{17x}{105}$.Total profit for the first partner $= \frac{3x}{10} + \frac{5x}{21}$.Total profit for the second partner $= \frac{3x}{10} + \frac{17x}{105}$.Given that the difference is $₹ 300$:$(\frac{3x}{10} + \frac{5x}{21}) - (\frac{3x}{10} + \frac{17x}{105}) = 300$.$\frac{5x}{21} - \frac{17x}{105} = 300$.$\frac{25x - 17x}{105} = 300 \implies \frac{8x}{105} = 300$.$x = \frac{300 	imes 105}{8} = 37.5 	imes 105 = 3937.50$.Thus,the total profit is $₹ 3937.50$.

Similar Questions

Nikita and Nishita enter into a partnership by investing ₹ $50,000$ and ₹ $40,000$ respectively. They agreed to share profits in the ratio of their capitals. Find out the share of Nikita when the total profit of the business is ₹ $22,500$ after a year.

Srikant and Vividh started a business investing amounts of $Rs. 185000$ and $Rs. 225000$,respectively. If Vividh's share in the profit earned by them is $Rs. 9000$,what is the total profit (in $Rs.$) earned by them together?

Ram,Rohan,and Karn invested in a business in the ratio of $3:2:5$ respectively. If Ram earns $100\%$ more profit than Rohan and Karn earns $40\%$ more profit than Rohan,what will be the share of Rohan in the profit?

$A$ started a business with ₹ $3500$ and after $5$ months,$B$ joined $A$ as his partner. After a year,the profit was divided in the ratio $2:3$. What was $B$'s contribution to the capital (in ₹)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module